Collection:
Mathematics
10969 books
Monte Carlo Methods in Financial Engineering - Hardcover
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by Paul Glasserman (Author)This book is devoted to the use of Monte Carlo methods in finance and is the first of its kind in this area. It will serve as a reference for practitioners and researchers and will also be suitable as a graduate text for courses on computational finance.Back JacketMonte Carlo simulation has become an essential tool in the pricing of derivative securities and in risk management. These applications have, in turn, stimulated research into new Monte Carlo methods and re...
Foundations of Differentiable Manifolds and Lie Groups - Hardcover
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by Frank W. Warner (Author)Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem...
Fourier Analysis and Its Applications - Hardcover
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by Anders Vretblad (Author)This book is a carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. A variety of worked examples and exercises will help the readers to apply their newly a...
Calculus II - Paperback
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by Jerrold Marsden (Author), Alan Weinstein (Author)This is the second book of a three-volume work called "Calculus" by Jerrold Marsden and Alan Weinstein. This book is the outgrowth of the authors' experience teaching calculus at Berkeley. It covers techniques and applications of integration, infinite series, and differential equations.
Number of Pages: 348
Dimensions: 0.9 x 9.9 x 6.9 IN
Illustrated: Yes
Publication Date: April 19, 1985
Lie Groups, Lie Algebras, and Their Representations - Hardcover
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by V. S. Varadarajan (Author)This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various as...
General Topology - Hardcover
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by S. K. Berberian (Translator), J. Dixmier (Author)This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer- sity year). The course was taught during the first semester of the 1979-80 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However, we shall limit ourselves t...
Calculus I - Paperback
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by Jerrold Marsden (Author), Alan Weinstein (Author)The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximu...
Berkeley Problems in Mathematics - Paperback
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by Paulo Ney de Souza (Author), Jorge-Nuno Silva (Author)The book is a compilation of approximately nine hundred problems which have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, comp...
An Invitation to 3-D Vision: From Images to Geometric Models - Hardcover
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by Yi Ma (Author), Stefano Soatto (Author), Jana Kosecká (Author)This book is intended to give undergraduate and beginning graduate students and researchers in computer vision, applied mathematics, robotics, and computer graphics a self-contained introduction to the geometry of 3D vision. Exercises are provided at the end of each chapter.Back JacketEndowing machines with a sense of vision has been a dream of scientists and engineers alike for over half a century. Only in the past decade, howe...
Linear Algebra: An Introductory Approach - Hardcover
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by Charles W. Curtis (Author)This book is an introduction to linear algebra, designed as a textbook for upper-division courses. It includes the basic results on vector spaces over fields, determinants, the theory of single linear transformation, and inner product spaces. The text presents proofs of the main theorems and includes numerical examples and exercises; applications to geometry, group theory and differential equations are given.
Number of Pages: 350
Dimensions: 1 x 9.3 x 6.4 IN
Illus...
Calculus III - Paperback
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by Jerrold Marsden (Author), Alan Weinstein (Author)This book, the third of a three-volume work, is the outgrowth of the authors' experience teaching calculus at Berkeley. It is concerned with multivariable calculus, and begins with the necessary material from analytical geometry. It goes on to cover partial differention, the gradient and its applications, multiple integration, and the theorems of Green, Gauss and Stokes.
Number of Pages: 344
Dimensions: 0.86 x 10.9 x 8.36 IN
Illustrated: Yes...
Bayesian Computation with R - Paperback
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by Jim Albert (Author)There has been dramatic growth in the development and application of Bayesian inference in statistics. Berger (2000) documents the increase in Bayesian activity by the number of published research articles, the number of books, andtheextensivenumberofapplicationsofBayesianarticlesinapplied disciplines such as science and engineering. One reason for the dramatic growth in Bayesian modeling is the availab- ity of computational algorithms to compute the range of integrals t...
The Arithmetic of Elliptic Curves - Hardcover
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by Joseph H. Silverman (Author)The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of...
A First Course in Bayesian Statistical Methods - Hardcover
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by Peter D. Hoff (Author) A self-contained introduction to probability, exchangeability and Bayes' rule provides a theoretical understanding of the applied material.
Numerous examples with R-code that can be run "as-is" allow the reader to perform the data analyses themselves.
The development of Monte Carlo and Markov chain Monte Carlo methods in the context of data analysis examples provides motivation for these computational methods.
Back JacketThis book provides a compact self-cont...
Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination - Hardcover
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by Marjorie Senechal (Editor)This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping...
Real and Functional Analysis - Hardcover
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by Serge Lang (Author)This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal- ysis. I assume that the reader is acquainted with notions of uniform con- vergence and the like. In this third edition, I have reorganized the book by covering inte- gration before functional analysis. Such a rearrangement fits the way courses are taught ...
Nonlinear Regression with R - Paperback
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by Christian Ritz (Author), Jens Carl Streibig (Author)R is a rapidly evolving lingua franca of graphical display and statistical analysis of experiments from the applied sciences. Currently, R offers a wide range of functionality for nonlinear regression analysis, but the relevant functions, packages and documentation are scattered across the R environment. This book provides a coherent and unified treatment of nonlinear regression with R by means of examples from a diversity of applied scie...
Breakthroughs in Statistics: Foundations and Basic Theory - Paperback
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by Samuel Kotz (Editor), Norman L. Johnson (Editor)McCrimmon, having gotten Grierson's attention, continued: "A breakthrough, you say? If it's in economics, at least it can't be dangerous. Nothing like gene engineering, laser beams, sex hormones or international relations. That's where we don't want any breakthroughs. " (Galbraith, 1. K. (1990) A Tenured Profes- sor, Houghton Miffiin; Boston. ) To judge astronomy] in this way a narrow utilitarian point of view] demon- strates not only how p...
Breakthroughs in Statistics: Methodology and Distribution - Paperback
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by Samuel Kotz (Editor), Norman L. Johnson (Editor)McCrimmon, having gotten Grierson's attention, continued: "A breakthrough, you say? If it's in economics, at least it can't be dangerous. Nothing like gene engineering, laser beams, sex hormones or international relations. That's where we don't want any breakthroughs. " (Galbraith, 1. K. (1990) A Tenured Profes- sor, Houghton Mifflin; Boston. ) To judge astronomy] in this way a narrow utilitarian point of view] demon- strates not only how p...
Noncommutative Algebra - Hardcover
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by Benson Farb (Author), R. Keith Dennis (Author)About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as thi...
The Square Root of 2: A Dialogue Concerning a Number and a Sequence - Hardcover
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by David Flannery (Author)Using no more than the most basic algebra and geometry, Flannery (Cork Institute of Technology, Ireland) manages to convey not only why irrational numbers are fascinating, but how the whole enterprise of mathematical thinking is imaginative, intriguing, and engaging. A startlingly original and informative dialog, this book is a one-of-a-kind introduction to the pleasure and playful beauty of mathematical thinking.
Number of Pages: 260
Dimensions: 0.98 x 9.46 x 6.6 IN...
Lunar Outpost: The Challenges of Establishing a Human Settlement on the Moon - Paperback
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by Erik Seedhouse (Author)Lunar Outpost provides a detailed account of the various technologies, mission architectures, medical requirements and training needed to return humans to the Moon within the next decade. It focuses on the means by which a lunar outpost will be constructed and also addresses major topics such as the cost of the enterprise and the roles played by private companies and individual countries. The return of humans to the surface of the Moon will be critical to the explora...
The Joy of Sets: Fundamentals of Contemporary Set Theory - Hardcover
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by Keith Devlin (Author)This new edition has been completely rewritten; it includes a new chapter on non-well-founded set theory, a subject of considerable importance in computer science. Written in an easy-to-follow, intuitive style, the book is intended for upper-level undergraduate or beginning graduate students in mathematics, logic, philosophy, or computer science.
Number of Pages: 194
Dimensions: 0.77 x 9.54 x 6.25 IN
Publication Date: August 03, 1993
Linear Algebra - Hardcover
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by Klaus Jänich (Author)This is a carefully written, clear account of elementary linear algebra with good problems and interesting historical sidelights. It will be used for collateral reading and primary reference by many students. The text, written by a very well-known author, includes many exercises and good examples.Back JacketThis book covers the material of an introductory course in linear algebra: sets and maps, vector spaces, bases, linear maps, matrices, values and eigenvectors, diag...
Modern Geometry with Applications - Paperback
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by George A. Jennings (Author)This is a thorough analysis of the fundamentals of plane geometry. The reader is provided with an abundance of geometric facts such as results of Euclidean and spherical geometry, conic sections, projective geometry, and Minkowski geometry to name a few. The book covers unusual material and provides fresh examples and interesting exercises.Back JacketThis is an introduction to the theory and applications of modern geometry. It differs from other books in its fiel...
Algebraic Number Theory - Hardcover
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by Serge Lang (Author)This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields,...
Commutative Algebra: With a View Toward Algebraic Geometry - Hardcover
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by David Eisenbud (Author)Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help...
Unsolved Problems in Number Theory - Hardcover
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by Richard Guy (Author)From reviews of the first edition: "...many talented young mathematicians will write their first papers starting out from problems found in this book." -Mathematical Reviews Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be c...
Commutative Algebra: With a View Toward Algebraic Geometry - Paperback
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by David Eisenbud (Author)Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help...
Introduction to Game Theory - Paperback
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by Peter Morris (Author)This is a textbook for a course in the theory of games. It is intended for advanced undergraduates and graduate students in mathematics and other quantitative disciplines, e.g., statistics, operations research, etc. It treats the central topics in game theory and is meant to give students a basis from which they can go on to more advanced topics. The subject matter is approached in a mathematically rigorous way, but, within this constraint, an effort is made to keep it...
The Historical Development of the Calculus - Paperback
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by C. H. Jr. Edwards (Author)This is a lucid account of the highlights in the historical development of the calculus from ancient to modern times - from the beginnings of geometry in antiquity to the nonstandard analysis of the twentieth century.
Number of Pages: 368
Dimensions: 0.78 x 9.12 x 6.1 IN
Illustrated: Yes
Publication Date: June 24, 1994
Algebraic Topology: A First Course - Paperback
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by William Fulton (Author)To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin...
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